A simple iterative approach for solving a set of implicit kinetic moment equations is proposed. This implicit solve is a key component in the IMEX discretization of the multi-species Bhatnagar-Gross-Krook (M-BGK) model with nontrivial collision frequencies depending on individual species temperatures. We prove that under mild time step restrictions, the iterative method generates a contraction mapping. Numerical simulations are provided to illustrate results of the IMEX scheme using the implicit moment solver.

翻译：提出了一种求解隐式动力学动量方程的简单迭代方法。该隐式求解器是处理具有依赖各物种温度的非平凡碰撞频率的多物种Bhatnagar-Gross-Krook（M-BGK）模型IMEX离散化中的关键组成部分。我们证明在温和的时间步长限制下，该迭代方法生成一个压缩映射。通过数值模拟展示了使用隐式动量求解器的IMEX格式的结果。